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55783812546 = 232731117192543
BaseRepresentation
bin110011111100111110…
…010110110111000010
312022222200002021212100
4303330332112313002
51403221124000141
641343212411230
74013242404000
oct637476266702
9168880067770
1055783812546
1121726565020
12a989a76b16
135350104507
1429b2945a70
1516b75270b6
hexcfcf96dc2

55783812546 has 384 divisors, whose sum is σ = 171445248000. Its totient is φ = 12914173440.

The previous prime is 55783812521. The next prime is 55783812551. The reversal of 55783812546 is 64521838755.

55783812546 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 381 + 254 + 6 = 666.

It is a super-2 number, since 2×557838125462 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55783812492 and 55783812501.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21934951 + ... + 21937493.

It is an arithmetic number, because the mean of its divisors is an integer number (446472000).

Almost surely, 255783812546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55783812546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85722624000).

55783812546 is an abundant number, since it is smaller than the sum of its proper divisors (115661435454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55783812546 is a wasteful number, since it uses less digits than its factorization.

55783812546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2602 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 55783812546 in words is "fifty-five billion, seven hundred eighty-three million, eight hundred twelve thousand, five hundred forty-six".